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Finding the Fourth Proportional to 844.19, 1,266.38 and 433.11

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Solution

The fourth proportional to 844.19, 1,266.38 and 433.11 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,266.38 = 433.11 : x
  2. Step 2: Convert to fraction form
    844.19/1,266.38 = 433.11/x
  3. Step 3: Cross multiply
    844.19x = 1,266.38 × 433.11
  4. Step 4: Simplify right side
    844.19x = 548,481.84
  5. Step 5: Solve for x
    x = 548,481.84/844.19
  6. Step 6: Final answer
    x = 649.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.